Find the specified quantity.
-Find the period of $y = - 5 \sin \left( \frac { 1 } { 3 } x - \frac { \pi } { 2 } \right)$.
A) $5 \pi$
B) $6 \pi$
C) $\frac { \pi } { 2 }$
D) $3 \pi$

Question

Quizplus · Accepted Answer

The period of a sine function $y = a \sin(bx - c)$ is given by $\frac{2\pi}{|b|}$. Here, $b = \frac{1}{3}$, so the period is $\frac{2\pi}{1/3} = 6\pi$.

Find the Specified Quantity y=−5sin⁡(13x−π2)y = - 5 \sin \left( \frac { 1 } { 3 } x - \frac { \pi } { 2 } \right)y=−5sin(31​x−2π​)

Find the Specified Quantity $y = - 5 \sin \left( \frac { 1 } { 3 } x - \frac { \pi } { 2 } \right)$